Google added 6 new Math Solver Problem Types in Rich Results to its support documentation.

### Following are The Six New Types Added by Google:

- Arithmetic
- Eigenvalue
- Eigenvector
- Limit
- Statistics
- System of equations

**Recommendation**

Now, There are total of 49 problem support types in math problem solver markup.

Here is the full list mentioned below by Google:

Example problem types (this isn’t an exhaustive list) | |
---|---|

`Absolute Value Equation` | Absolute value equations. For example: |x – 5| = 9 |

`Algebra` | A generic problem type that can be placed with other problem type. For example: polynomial equations, exponential equations, and radical expressions. |

`Arc Length` | Arc length problems. For example: Determine the length of x = 4 (3 + y)^2, 1 < y < 4. |

`Arithmetic` | Arithmetic problems. For example: Find the sum of 5 + 7. |

`Biquadratic Equation` | Biquadratic equations. For example: x^4 – x^2 – 2 = 0. |

`Calculus` | A generic problem type that can be placed with other problem types. For example: integrals, derivatives, and differential equations. |

`Characteristic Polynomial` | Find the characteristic polynomial of {{1,2,5}, {3,-1,1}, {1,2,3}}. |

`Circle` | Circle related problems. For example: Find the radius of x^2 + y^2 = 3. |

`Derivative` | Derivative of 5x^4 + 2x^3 + 4x – 2. |

`Differential Equation` | Differential equation problems. For example: y+dy/dx=5x. |

`Distance` | Distance problems. For example: Find the distance between (6,-1) and (-3,2). |

`Eigenvalue` | Eigenvalue problems. For example: Find the eigenvalues for the matrix [[-6, 3], [4, 5]]. |

`Eigenvector` | Eigenvector problems. For example: Find the eigenvector for the matrix [[-6, 3], [4, 5]] with eigenvalues of [-7, 6]. |

`Ellipse` | Ellipse problems. For example: Find the x and y intercepts of 9x^2 + 4y^2 = 36. |

`Exponential Equation` | Exponential equations. For example: 7^x = 9. |

`Function` | Polynomial simplifications. For example: (x-5)^2 * (x+5)^2. |

`Function Composition` | f(g(x)) when f(x)=x^2-2x, g(x)=2x-2 |

`Geometry` | A generic problem type that can be placed with other problem types. For example: circle, ellipse, parabola, slope. |

`Hyperbola` | Hyperbola problems. For example: Find the x-intercept of (x^2)/4 – (y^2)/5 = 1. |

`Inflection Point` | Find the inflection point of f(x) = 1/2x^4 +x^3 – 6x^2. |

`Integral` | Integral of sqrt (x^2 – y^2). |

`Intercept` | Line intercept problems. For example: Find the x-intercept of the line y = 10x – 5. |

`Limit` | Limit problems. For example: Find the limit of x as x approaches 1 for (x^2-1)/(x-1). |

`Line Equation` | Line equation problems. For example: Find the equation of a line with points (-7,-4) and (-2,-6). |

`Linear Algebra` | A generic problem type that can be placed with other problem types. For example: matrix and characteristic polynomial. |

`Linear Equation` | Linear equations. For example: 4x – 3 = 2x + 9. |

`Linear Inequality` | Linear inequalities. For example: 5x – 6 > 3x – 8. |

`Logarithmic Equation` | Logarithmic equations. For example: log(x) = log(100). |

`Logarithmic Inequality` | Logarithmic inequalities. For example: log(x) > log(100). |

`Matrix` | {{1,2,5}, {3,-1,1}, {1,2,3}} row reduce |

`Midpoint` | Midpoint problems. For example: find the midpoint between (-3, 7) and (5, -2). |

`Parabola` | Parabola problems. For example: Find the vertex of y2 – 4x – 4y = 0. |

`Parallel` | Parallel line problems. For example: Are the two lines parallel (y = 10x + 5, y = 20x + 10)? |

`Perpendicular` | Perpendicular problems. For example: Are the two lines perpendicular (y = 10x + 5, y = 20x + 10)? |

`Polynomial Equation` | Polynomial equations. For example: x^5 – 3x = 0. |

`Polynomial Expression` | Polynomial expressions. For example: (x – 5)^4 * (x + 5)^2. |

`Polynomial Inequality` | Polynomial inequalities. For example: x^4 – x^2 – 6 > x^3 – 3x^2. |

`Quadratic Equation` | Quadratic equations. For example: x^2 – 3x – 4 = 0. |

`Quadratic Expression` | Quadratic expressions. For example: x^2 – 3x – 2. |

`Quadratic Inequality` | Quadratic inequalities. For example: x^2 – x – 6 > x^2 – 3x. |

`Radical Equation` | Radical equations. For example: sqrt(x) – x = 0. |

`Radical Inequality` | Radical inequalities. For example: sqrt(x) – x > 0. |

`Rational Equation` | Rational equations. For example: 5/(x – 3) = 2/(x – 1). |

`Rational Expression` | Rational expressions. For example: 1/(x^3 + 4x^2 + 5x + 2). |

`Rational Inequality` | Rational inequalities. For example: 5/(x – 3) > 2/(x – 1). |

`Slope` | Slope problems. For example: Find the slope of y = 10x + 5. |

`Statistics` | Statistics problems. For example: Find the mean of a set of numbers (3, 8, 2, 10). |

`System of Equations` | System of equations problems. For example: Solve 2x + 5y = 16 and 3x – 5y = – 1. |

`Trigonometry` | Solve sin(t) + cos(t) = 1. |

You can check full list of the same here